Solve 2x+1/6-x/4=3(x+1)/2

$$\frac { 2 x + 1 } { 6 } - \frac { x } { 4 } = \frac { 3 ( x + 1 ) } { 2 }$$

Solve for x

$$x=-\frac{16}{17}\approx -0.941176471$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4,2.

$$2\left(2x+1\right)-3x=6\times 3\left(x+1\right)$$

Use the distributive property to multiply 2 by 2x+1.

$$4x+2-3x=6\times 3\left(x+1\right)$$

Combine 4x and -3x to get x.

$$x+2=6\times 3\left(x+1\right)$$

Multiply 6 and 3 to get 18.

$$x+2=18\left(x+1\right)$$

Use the distributive property to multiply 18 by x+1.

$$x+2=18x+18$$

Subtract 18x from both sides.

$$x+2-18x=18$$

Combine x and -18x to get -17x.

$$-17x+2=18$$

Subtract 2 from both sides.

$$-17x=18-2$$

Subtract 2 from 18 to get 16.

$$-17x=16$$

Divide both sides by -17.

$$x=\frac{16}{-17}$$

Fraction \frac{16}{-17} can be rewritten as -\frac{16}{17} by extracting the negative sign.

$$x=-\frac{16}{17}$$